a grocer purchased 200kg of rice at Rs 25per kg. he sold 80kg of it at a gain of 10% and 40kg at loss of 4%.at what rate per kg should he sell the reminder to gain 8%on his total investment
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Step-by-step explanation:
Purchase cost =200×25=Rs5,000
Selling price of 80 kg rice - at 10% gain ⇒ 110% of price
⇒
100
110
×Rs25.
So money earned by selling 80 kg rice =80×
100
110
× 25=Rs2,200
Selling price of 40 kg rice at a loss of 4% ⇒ 96% of price
⇒
100
96
×Rs25
Money earned by selling 40 kg =40×
100
96
×25=Rs 960
Remaining quantity =200−40−80=80kg
Total gain required = 8% ⇒
Overall money to be earned thru sales =
100
108
× cost =
100
108
×5,000=Rs5,400
Money to be earned through sale of remaining 80 kg
=Rs5,400−Rs2,200−Rs960=Rs2,240
Selling price of the remainder rice =
80kg
Rs2,240
=Rs28/kg
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